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10057380 = 2235167623
BaseRepresentation
bin100110010111…
…011010100100
3200220222010120
4212113122210
510033314010
6555321540
7151325544
oct46273244
920828116
1010057380
11574a293
1234502b0
132111a18
14149b324
15d39e70
hex9976a4

10057380 has 24 divisors (see below), whose sum is σ = 28160832. Its totient is φ = 2681952.

The previous prime is 10057379. The next prime is 10057381. The reversal of 10057380 is 8375001.

10057380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10057379) and next prime (10057381).

It is a self number, because there is not a number n which added to its sum of digits gives 10057380.

It is not an unprimeable number, because it can be changed into a prime (10057381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83752 + ... + 83871.

It is an arithmetic number, because the mean of its divisors is an integer number (1173368).

Almost surely, 210057380 is an apocalyptic number.

10057380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10057380 is an abundant number, since it is smaller than the sum of its proper divisors (18103452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10057380 is a wasteful number, since it uses less digits than its factorization.

10057380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167635 (or 167633 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10057380 is about 3171.3372573727. The cubic root of 10057380 is about 215.8547548923.

It can be divided in two parts, 1005 and 7380, that added together give a triangular number (8385 = T129).

The spelling of 10057380 in words is "ten million, fifty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 167623 335246 502869 670492 838115 1005738 1676230 2011476 2514345 3352460 5028690 10057380